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PHY2061
R. D. Field
Department of Physics
chp32_3.doc
University of Florida
Vector Multiplication: Dot & Cross
Two Vectors:
Define two vectors according to
r
r
AA
xA
yA
z
BB
xB
yB
z
xyz
=++
$$
$
$
.
The magnitudes of the vectors is given by
r
r
A
A
A
B
B
B
==
+
+
+
+
222
Dot Product (
Scalar Product
):
The dot product, S, is a
scalar
and is given by
SA
B
A
B
A
B
A
B
A
B
xx
yy
zz
=⋅=
=
+
+
rr
r
r
cos
θ
Cross Product (
Vector Product
):
The cross product,
r
C
, is a
vector
and is given by
rrr
CA
B
A
B
A
B
x
A
B
A
B
y
A
B
A
B
z
yz
zy
xz
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 Spring '08
 FRY
 Physics

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